Approximation by Bernstein Quasi-Interpolants

Mache, P.; Mache, Detlef H.

doi:10.1081/nfa-100103792

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction3

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2005

2014

Publication Types

Select...

Article4

Book2

Other1

Relationship

Self Cite0

Independent7

Authors

Journals

Cited by 13 publications

(3 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar studies are done in [14] for Bernstein operators and in [15] for Baskakov quasi-interpolants (abbr. QIs).…”

Section: Introductionmentioning

confidence: 61%

Weierstrass quasi-interpolants

Sablonnière

2014

Journal of Approximation Theory

View full text Add to dashboard Cite

show abstract

“…Similar studies are done in [14] for Bernstein operators and in [15] for Baskakov quasi-interpolants (abbr. QIs).…”

Section: Introductionmentioning

confidence: 61%

Weierstrass quasi-interpolants

Sablonnière

2014

Journal of Approximation Theory

View full text Add to dashboard Cite

show abstract

“…By construction, these operators are exact on P r and, in general, they can be extended to the functional space F. In virtue of classical theorems in approximation theory, this procedure greatly improves the convergence order of the initial operator Q n in the space F. After its introduction in [9,10] for Bernstein operators (see also [7]), it has been extended by several authors to various classical linear approximation operators. For example by P. Mache and M.W.…”

Section: Introductionmentioning

confidence: 99%

Approximation by Baskakov quasi-interpolants

Sablonnière

2013

Preprint

View full text Add to dashboard Cite

Baskakov operators and their inverses can be expressed as linear differential operators on polynomials. Recurrence relations are given for the computation of these coefficients. They allow the construction of the associated Baskakov quasi-interpolants (abbr. QIs). Then asymptotic results are provided for the determination of the convergence orders of these new quasi-interpolants. Finally some results on the computation of these QIs and the numerical approximation of functions defined on the positive real half-line are illustrated by some numerical examples.

show abstract

“…[4,5,6,7,8,9]). In this paper we will consider the so-called left Baskakov quasi-interpolants V (k) n (f, x), that is for 0 k n (cf.…”

Section: Introductionmentioning

confidence: 99%